Let $X_r$ be a finite simplical complex. Let $V_r$ be a sheaf which is a local system on $X_r$. Is it true that: $H^n(X_r,V_r$) i.e the cohomology of the sheaf $V_r$ coincide with the cohomology of the complex whose $n^{th}$ term is $\prod _{\delta}H^0(\delta,V_r)$ where $\delta$ varies over $n$ simplex of $X_r$.
It will be very helpful if someone gives a reference for this fact.